Question

In Lesson 3.05 we discussed comparing the key features of two functions given in different forms. Given the functions below:

a) Compare the y-intercepts of f(x) and g(x). Use complete sentences.


b) Compare the vertical asymptotes of f(x) and g(x). Use complete sentences.


Note: Points will be deducted for NOT answering in complete sentences. You may use a graphing calculator to help you visualize f(x).

Answer 1

Explanation:

a) Compare the y-intercepts of f(x) and g(x). Use complete sentences.

The functions f(x) and g(x) are different, the y-intercepts for each function is y-intercepts (0,-1/3) for f(x)= 1/x-3 and y-intercepts (0,0) for g(x) as shown on the graph.

b) Compare the vertical asymptotes of f(x) and g(x). Use complete sentences.

The functions f(x) and g(x) have different Vertical Asymptotes, f(x)= 1/x-3 Vertical Asymptotes is x = 3 while g(x) as shown on the graph Vertical Asymptotes is x = 4. Both functions do have Horizontal Asymptotes that are the same y = 0